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Finding the Third Proportional to 67,388 and 144,617.50

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Solution

The third proportional to 67,388 and 144,617.50 is: 310,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,388 : 144,617.50 = 144,617.50 : x
  2. Step 2: Convert to fraction form
    67,388/144,617.50 = 144,617.50/x
  3. Step 3: Cross multiply
    67,388x = 144,617.50 × 144,617.50
  4. Step 4: Simplify right side
    67,388x = 20,914,221,306.25
  5. Step 5: Solve for x
    x = 20,914,221,306.25/67,388
  6. Step 6: Final answer
    x = 310,355.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.